I'm not sure it's working for me though - I'm looking for compositional elements like a pattern, some focal point or structure, but all I'm getting is a chunk of green grass and nothing that makes me go "Ahhh - that's interesting"

What you do have here are some distinctive leaves and those white flowers - so I'd have maybe tried a wide aperture to blur the background grasses a bit and make the leaves stand out. Also, the white parts are jsut on the edge of the frame, as they are important, it'd be stronger to place them more prominently, say 1/3 in from the right.

It's a subject you can practice a lot with - have a go at the rule of thirds, blurring the background, makeing shapes (triavgles etc) with the elements.

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